|
|
A169989
|
|
Expansion of Product_{i=0..m-1} 1 + x^(2*i+1) for m=6.
|
|
6
|
|
|
1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,9
|
|
COMMENTS
|
Product_{i=0..m-1} 1 + x^(2*i+1) is the Poincaré polynomial for GL(m).
Number of self-conjugate partitions of n into at most 6 parts. Also, number of partitions of n into distinct odd parts not larger than 11. - Álvar Ibeas, Jul 30 2020
|
|
REFERENCES
|
H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.
|
|
LINKS
|
|
|
MATHEMATICA
|
CoefficientList[Series[Product[1+x^(2i+1), {i, 0, 5}], {x, 0, 40}], x] (* Harvey P. Dale, Mar 03 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|